Subject: MathematicsTitle: CombinationsAdd BookmarkDescription: This unit of two lessons, from Illuminations, focuses on combinations, a subject related to the probability-and-statistics strand of mathematics. Students are encouraged to discover all the combinations for a given situation using problem-solving skills (including elimination and collection of organized data) and drawing conclusions. The use of higher-level thinking skills (synthesis, analysis, and evaluations) is the overall goal.Thinkfinity Partner: IlluminationsGrade Span: 3,4,5,6,7,8

Subject: MathematicsTitle: Explorations with ChanceAdd BookmarkDescription: In this lesson, from Illuminations, students analyze the fairness of certain games by examining the probabilities of the outcomes. The explorations provide opportunities for the learning phases of predicting results, playing the games, and calculating probability ratios.Thinkfinity Partner: IlluminationsGrade Span: 9,10,11,12

Subject: MathematicsTitle: FireAdd BookmarkDescription: In this student interactive, from Illuminations, students can see the results of a fire if a forest is densely planted in a rectangular grid. Students are able to choose a starting place for the fire and enter the probability that a given tree will burn.Thinkfinity Partner: IlluminationsGrade Span: 3,4,5,6,7,8,9,10,11,12

Subject: MathematicsTitle: Stick or Switch?Add BookmarkDescription: This lesson, from Illuminations, presents a version of a classic game-show scenario. You pick one of three doors in hopes of winning the prize. The host opens one of the two remaining doors, which reveals no prize, and then asks if you wish to stick or switch. Which choice gives you the best chance to win? Students explore different approaches to this problem including guesses, experiments, computer simulations, and theoretical models.Thinkfinity Partner: IlluminationsGrade Span: 6,7,8,9,10,11,12

Subject: MathematicsTitle: Sticks and Stones DemoAdd BookmarkDescription: This student interactive, from an Illuminations lesson, allows students to generate random throws for the game '' Sticks and Stones.'' In the game, three sticks are tossed and a player moves his or her marker according to how the sticks land.Thinkfinity Partner: IlluminationsGrade Span: 3,4,5,6,7,8

Subject: MathematicsTitle: Sticks and StonesAdd BookmarkDescription: In this Illuminations lesson, students play Sticks and Stones, a game based on the Apache game Throw Sticks, which was played at multi-nation celebrations. Students collect data, investigate the likelihood of various moves, and use basic ideas of expected value to determine the average number of turns needed to win a game.Thinkfinity Partner: IlluminationsGrade Span: 3,4,5,6,7,8